Coupling and Bernoullicity in random-cluster and Potts models

Details Coupling and Bernoullicity in random-cluster and Potts models Coupling and Bernoullicity in random-cluster and Potts models

2001-04-17

arxiv.org/abs/math/0104174v2

Bernoulli 8 (2002), no. 3, 275--294

Mathematics

Probability

Scientific paper

An explicit coupling construction of random-cluster measures is presented. As
one of the applications of the construction, the Potts model on amenable Cayley
graphs is shown to exhibit at every temperature the mixing property known as
Bernoullicity.

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